IJPAM: Volume 73, No. 3 (2011)
ON WEAK FORMS OF CONTRA-OPEN
AND CONTRA-CLOSED FUNCTIONS
AND CONTRA-CLOSED FUNCTIONS
C.W. Baker
Department of Mathematics
Indiana University Southeast
New Albany, IN 47150-6405, USA
Department of Mathematics
Indiana University Southeast
New Albany, IN 47150-6405, USA
Abstract. New forms of contra-open and contra-closed functions are introduced. These new forms are used to extend several results in the literature. In particular, theorems stating conditions under which contra-open functions are closed and contra-closed functions are open are improved. Relationships between these functions and other related classes of functions are established.
Received: August 12, 2011
AMS Subject Classification: 54C08, 54C10
Key Words and Phrases: contra-open, contra-closed, weakly contra-open, weakly contra-closed
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 73
Issue: 3
